1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
7

Whoever knows the answer tell me please thank you :)

Mathematics
2 answers:
GaryK [48]3 years ago
8 0

Answer is:

s = 50

Here's how to solve:

In this inequality, our first step is to find the least common denominator (that applies to both fractions, of course), or LCD. For the LCD, the we must find a number that is a multiple of both 21 and 30, and then multiply both sides of the inequality by said value. The reason we multiply on both sides of the inequality is because of the Line of Equality, which is a ruling that states that what you do on one side of an inequality, you also must do on the other.

In this case, our LCD is 210. After multiplying both sides, we are left with 350 = 7s.

Our next step is to isolate the variable 7s to make it singular. 1s, or s, is what we are trying to change the variable to, since that is what the isolated variable will look like. By dividing 7s by 7, we can successfully isolate the variable to 1s/s. Due to the Line of Equality rule, we should do this to both sides. After dividing each side by 7, we are left with s = 50.

Therefore, <em>the value of s is 50</em>, making the answer <em>s = 50</em>.

<h3>Bonus: Showing Work</h3>

<em>Finding the LCD;</em>

LCD for 21:

<em>( 21 * 1  ,  21 * 2  ,  21 * 3  ,  21 * 4  ,  etc... )</em>

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273

LCD for 30:

<em>( 30 * 1  ,  30 * 2  ,  30 * 3  ,  30 * 4  ,  etc... )</em>

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300

LCD Found; <u>210</u>

<em>Multiplying by LCD;</em>

<em>( 35 / 21 * 210  or  35 ÷ 21 * 210 )</em>

Left Side Steps:

Simplify- 35 / 21 --> 35 ÷ 7 / 21 ÷ 7 --> 35 ÷ 7 = 5  &  21 ÷ 7 = 3 --> 5 / 3 ( * 210 )

Single Fraction Format/Format Change- 5 / 3 * 210 --> 5 * 210 / 3

Multiply Numerator(s)/Top- 5 * 210 / 3 --> 5 * 210 = 1050 --> 1050 / 3

Divide Numerator & Denominator- 1050 / 3  or  1050 ÷ 3 --> 350

Right Side Steps:

<em>( s / 30 * 210  or  s ÷ 30 * 210 )</em>

Single Fraction Format/Format Change- s / 30 * 210 --> s * 210 / 30

Multiply Numerator(s)/Top- s * 210 / 30 --> 210s / 30

Divide Numerator & Denominator- 210s / 30  or  210s ÷ 30 --> 7s

New Inequality/Equation Found: <u>350 = 7s</u>

<em>Dividing by 7;</em>

Left Side: 350 ÷ 7 = 50

Right Side: 7s ÷ 7 = s

New Inequality Found; <u>50 = s</u>, or <u>s = 50</u><em> (the sign does not flip because the equivalent sign is the same both ways - and the opposite would be the same as the current value)</em>

Hope this helps! :]

topjm [15]3 years ago
3 0

Answer:

Ans its 50

Let me know if its incorrect:-)

You might be interested in
Michelle wishes to build a square pool in her backyard. She has saved enough to build a pool with the area of 150 square feet. W
frozen [14]
When it comes to finding the area of spaces, you must determine its shape. In this case, the shape of the pool is a square. From there, we will use the formula to find the area of a square.

Area = (side)^2

Since the square of the square's side is its total area, then if vice versa, we have to find the square root of the area to find the length. Thus,

Length = √150 = 5√6 = 12.25 ft
7 0
3 years ago
Slope-10 pass through (2,-5)
ahrayia [7]
Slope = -10
<span>pass through (2,-5)
y = mx + b
so
b = y - mx
b = -6 - (-10) (2)
b = -6 + 20
b = 14

equation
y = -10x + 14</span>
7 0
3 years ago
What is x in the equation x+3=9
densk [106]

Answer:

x=6

Step-by-step explanation:

x+3=9

x+3-3=9-3

x=6

5 0
2 years ago
Read 2 more answers
Please help<br> I’m terrible at math scale factors
zysi [14]
First one is false, second one is true.
6 0
2 years ago
Read 2 more answers
The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional
kari74 [83]

Answer:

D. 16.8

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • if zakyrah has 5 songs and dymin has 2 songs on itunes.if zakyrah has 150 song how many does dymin have
    12·1 answer
  • Is this statement always sometimes or never true. If x and y are supplementary angels then x is obtuse
    7·2 answers
  • Simplify the expression.<br> 4(b−6) +19
    5·1 answer
  • Foreshadowing is a storytelling device that...
    13·2 answers
  • What is the length of a piece of cloth that is 5 centimeters wide an area of 20 cm^2?
    7·1 answer
  • -3 1/3&lt; x/3-2 ≤ 1/6 Can anyone help me turn this into a simplified inequality?
    14·1 answer
  • The measure of an angle is 45º. What is the measure of its complementary angle?
    7·2 answers
  • Help me w my friends hw pls!
    8·1 answer
  • Write an equation of the line that passes through (0, – 6) and is parallel to the line y = 3x – 8. An equation of the parallel l
    13·1 answer
  • What is 1/4 divided by 3? Please answer!!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!